Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If the point (2,3) is on the graph of the equation 2x - ky = 4, then the value of k will be
A)
0
B)
1
C)
2
D)
3
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '3' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The average age of 40 employees in a company is 25 years. If the age of a new employee is included, then the average increases by 1 year. What is the age of the new employee ?
A)
26 years
B)
62 years
C)
66 years
D)
60 years
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '60 years' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
At an instant the length of the shadow of a pole is 3 times the height of the pole. The angle of elevation is
A)
30°
B)
45°
C)
60°
D)
75°
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '45°' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Cube root of 0.001728 is
A)
0.17
B)
0.15
C)
0.13
D)
0.12
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '0.17' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The selling price of 16 articles is the same as the cost price of 20 articles. The gain percent is
A)
4%
B)
15%
C)
20%
D)
25%
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '20%' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
25% of a number is 400, then the number is
A)
1600
B)
1400
C)
1200
D)
1000
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1200' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The diagonal of a square is 5.4 cm. Its area is
A)
14.58 cm2
B)
41.85 cm2
C)
14.85 cm2
D)
15.48 cm2
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '15.48 cm2' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
What is the acronym of IDSP?
A)
Integrated Disease Surveillance Practise
B)
Integrated Development Studies and Practices
C)
Integrated Disease Surveillance Project
D)
Integrated Development System and Programme
Based on established principles in the relevant subject area, the correct and most appropriate choice is 'Integrated Disease Surveillance Practise' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The total surface area of a cube is 150 m2 , then the length of its edge is
A)
15 m
B)
5 m
C)
20 m
D)
10 m
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '10 m' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A result of a survey of persons with respect to their knowledge of Hindi (H), English (E) and Mizo (M) is given. What is the ratio of those who know all the three languages to those who do not know Mizo?
A)
13/2
B)
5/9
C)
10/9
D)
2/13
Based on established principles in the relevant subject area, the correct and most appropriate choice is '2/13' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Find the dividend when divisor is 13, quotient is 30 and remainder is 12
A)
402
B)
543
C)
436
D)
455
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '402' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A bag contains 8 red, 2 black and 5 white balls. One ball is drawn at random. The probability that the ball drawn is not black is
A)
2/15
B)
13/15
C)
8/15
D)
1/3
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '13/15' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
What was the respective ratio between the number of candidates qualified in the written test in the year 2002 for admission in institution B and the number of candidates qualified in the written test in the year 2006 for admission to institution A ?
A)
8:5
B)
7:8
C)
7:4
D)
7:5
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '7:8' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If x+y+z = 13 and x^2+y^2+z^2 = 69, then the value of xy+yz+zx is equal to
A)
50
B)
40
C)
70
D)
60
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '70' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If a chord of a circle is equal to the radius of the circle, then the angle subtended by the chord at a point on the minor arc is
A)
60°
B)
120°
C)
30°
D)
150°
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '120°' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A boy goes to school with a speed of 3 km per hour and returns with a speed of 2 km per hour. If he takes 5 hours in all, the distance between his home and the school is
A)
6 km
B)
5 km
C)
4 km
D)
8 km
Based on established principles in the relevant subject area, the correct and most appropriate choice is '5 km' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
One-fourth of a number decreased by 5 is equal to 4, the number is
A)
20
B)
36
C)
44
D)
40
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '44' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
If Sin(A+B) = SinA CosB + CosA SinB, then the value of Sin 135° is
A)
1
B)
2
C)
1/2
D)
1/√2
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1/2' (Option C).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
A table was sold for Rs 900 at a loss of 10%. The cost price of the table is
A)
Rs 800
B)
Rs 950
C)
Rs 1000
D)
Rs 1050
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is 'Rs 800' (Option A).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
Two numbers when added becomes 97 and one of the numbers exceeds the other by 51. The numbers are
A)
37, 64
B)
74, 23
C)
33, 58
D)
49, 62
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '74, 23' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The total salary of the family per month is Rs 32000. What is the budget estimated by the family on clothing and grocery together ?
A)
Rs 8850
B)
Rs 8960
C)
Rs 8690
D)
Rs 8780
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is 'Rs 8780' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The full form of the abbreviation ‘UNODC’ is:
A)
United Nations Organization for Development and Crime
B)
United Nations Office on Drugs and Crime
C)
United Nations Organization on Disaster and Climate Change
D)
United Nations Office for Disaster and Climate Change
Based on established principles in General Knowledge (unspecific), the correct and most appropriate choice is 'United Nations Office on Drugs and Crime' (Option B).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The number of spherical lead balls each of radius 2 cm can be made from a sphere of radius 8 cm are
A)
64
B)
46
C)
74
D)
86
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '86' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
The radius of a wire is decreased to one-third. If its volume remain the same, length will increase
A)
2 times
B)
3 times
C)
6 times
D)
9 times
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '9 times' (Option D).
Inspector of Statistics • Paper-II (General Mathematics & General Knowledge)
In which year, the production of Motor cycles of all factories was equal to the yearly average number of Motor cycles produced during 1985-1989 ?
A)
1985
B)
1986
C)
1987
D)
1988
Based on established principles in Quantitative Aptitude, the correct and most appropriate choice is '1986' (Option B).
